77340 ÷ 6 = 12890 R0
Alright, let's work through the division of 77340 by 6 step by step.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Step 2:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 17 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 3:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 128
Subtract 48 from 53 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 4:
6 goes into 54 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 1289
Subtract 54 from 54 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 6

Step 5:
6 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 12890
Subtract 0 from 0 to get 0.

The final result is 12890 with a remainder of 0.